6,907,194

2 × 3⁴ × 7 × 6091

Starting at 6,907,194, the Collatz iteration reaches 1 after 103 steps. The first transition is 3453597; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 6091

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,691,168

Proper Divisor Sum 10,783,974

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6907183 ← → #6907211

Radix Representation

Decimal	6907194
Binary	11010010110010100111010 (23 bits)
Octal	0o32262472
Hexadecimal	0x69653A

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 6,091 12,182 18,273 36,546 42,637 54,819 85,274 109,638 127,911 164,457 255,822 328,914 383,733 493,371 767,466 986,742 1,151,199 2,302,398 3,453,597 6,907,194

Collatz Trajectory (103 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,907,194 3,453,597 10,360,792 5,180,396 2,590,198 1,295,099 3,885,298 1,942,649 5,827,948 2,913,974 1,456,987 4,370,962 2,185,481 6,556,444 3,278,222 1,639,111 4,917,334 2,458,667 7,376,002 3,688,001 11,064,004 5,532,002 2,766,001 8,298,004 4,149,002 2,074,501 6,223,504 3,111,752 1,555,876 777,938 388,969 1,166,908 583,454 291,727 875,182 437,591 1,312,774 656,387 1,969,162 984,581 2,953,744 1,476,872 738,436 369,218 184,609 553,828 276,914 138,457 415,372 207,686 103,843 311,530 155,765 467,296 233,648 116,824 58,412 29,206 14,603 43,810

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